3618258000 has 480 divisors, whose sum is σ = 14042815488. Its totient is φ = 798336000.

The previous prime is 3618257957. The next prime is 3618258001. The reversal of 3618258000 is 8528163.

It is a happy number.

3618258000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3618258001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9113802 + ... + 9114198.

Almost surely, 2^3618258000 is an apocalyptic number.

3618258000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3618258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021407744).

3618258000 is an abundant number, since it is smaller than the sum of its proper divisors (10424557488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3618258000 is a wasteful number, since it uses less digits than its factorization.

3618258000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 3618258000 is about 60151.9575741305. The cubic root of 3618258000 is about 1535.2054742324.

The spelling of 3618258000 in words is "three billion, six hundred eighteen million, two hundred fifty-eight thousand".